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#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 20 hours to complete

Suggested: 6-8 hours/week...

#### English

Subtitles: English, Spanish, Chinese (Simplified)

### Skills you will gain

Series ExpansionsCalculusSeries Expansion

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 20 hours to complete

Suggested: 6-8 hours/week...

#### English

Subtitles: English, Spanish, Chinese (Simplified)

# Learners taking this Course are

• Biostatisticians
• Geologists
• Paralegals
• Tutors
• Scientists

### Syllabus - What you will learn from this course

Week
1
1 hour to complete

## Introduction

1 video (Total 8 min), 2 readings, 1 quiz
1 video
Welcome10m
Your Guide to Getting Started in this Course10m
1 practice exercise
Diagnostic Exam16m
Week
2
1 hour to complete

## A Review of Functions

3 videos (Total 36 min), 1 reading, 4 quizzes
3 videos
Exponentials15m
BONUS!4m
4 practice exercises
Core Homework: Functions16m
Challenge Homework: Functions8m
Core Homework: The Exponential16m
Challenge Homework: The Exponential4m
Week
3
2 hours to complete

## Taylor Series

5 videos (Total 69 min), 8 quizzes
5 videos
Computing Taylor Series16m
Convergence16m
BONUS!7m
Expansion Points14m
8 practice exercises
Core Homework: Taylor Series12m
Challenge Homework: Taylor Series6m
Core Homework: Computing Taylor Series16m
Challenge Homework: Computing Taylor Series2m
Core Homework: Convergence14m
Challenge Homework: Convergence4m
Core Homework: Expansion Points10m
Challenge Homework: Expansion Points8m
Week
4
3 hours to complete

## Limits and Asymptotics

4 videos (Total 62 min), 1 reading, 7 quizzes
4 videos
l'Hôpital's Rule16m
Orders of Growth17m
BONUS!12m
7 practice exercises
Core Homework: Limits20m
Challenge Homework: Limits12m
Core Homework: l'Hôpital's Rule12m
Challenge Homework: l'Hôpital's Rule10m
Core Homework: Orders of Growth20m
Challenge Homework: Orders of Growth8m
Chapter 1: Functions - Exam20m
4.8
269 Reviews

## 35%

started a new career after completing these courses

## 30%

got a tangible career benefit from this course

## 15%

got a pay increase or promotion

### Top reviews from Calculus: Single Variable Part 1 - Functions

By YGJul 3rd 2018

Very well structured for a refresher course. Thank you Professor Ghrist for your effort in putting this course together. A little additional outside research was required but well worth the effort.

By RHDec 16th 2016

Excellent class. Prof. Ghrist has a great teaching style, and his idea to use Taylor Series first is quite effective. Many functions I have shied away from in the past are now familiar to me.

## Instructor

### Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering